Let the eccentricity of the hyperbola \( \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 \) be \( \frac{5}{4} \). If the equation of the normal at the point \( \left(\frac{8}{\sqrt{5}}, \frac{12}{5}\right) \) on the hyperbola is \( 8\sqrt{5}\,x+\beta y=\lambda \), then \( \lambda-\beta \) is equal to __________.
